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Existence Theory for Generalized Newtonian Fluids

Existence Theory for Generalized Newtonian Fluids
  • Author : Dominic Breit
  • Publsiher : Academic Press
  • Release : 22 March 2017
  • ISBN : 0128110457
  • Pages : 286 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKExistence Theory for Generalized Newtonian Fluids

Summary:
Existence Theory for Generalized Newtonian Fluids provides a rigorous mathematical treatment of the existence of weak solutions to generalized Navier-Stokes equations modeling Non-Newtonian fluid flows. The book presents classical results, developments over the last 50 years of research, and recent results with proofs. Provides the state-of-the-art of the mathematical theory of Generalized Newtonian fluids Combines elliptic, parabolic and stochastic problems within existence theory under one umbrella Focuses on the construction of the solenoidal Lipschitz truncation, thus enabling readers to apply it to mathematical research Approaches stochastic PDEs with a perspective uniquely suitable for analysis, providing an introduction to Galerkin method for SPDEs and tools for compactness


Existence Theory for Generalized Newtonian Fluids

Existence Theory for Generalized Newtonian Fluids
  • Author : Dominic Breit
  • Publisher : Academic Press
  • Release : 22 March 2017
GET THIS BOOKExistence Theory for Generalized Newtonian Fluids

Existence Theory for Generalized Newtonian Fluids provides a rigorous mathematical treatment of the existence of weak solutions to generalized Navier-Stokes equations modeling Non-Newtonian fluid flows. The book presents classical results, developments over the last 50 years of research, and recent results with proofs. Provides the state-of-the-art of the mathematical theory of Generalized Newtonian fluids Combines elliptic, parabolic and stochastic problems within existence theory under one umbrella Focuses on the construction of the solenoidal Lipschitz truncation, thus enabling readers to apply it

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Recent Advances in Partial Differential Equations and Applications

Recent Advances in Partial Differential Equations and Applications
  • Author : Vicenţiu D. Rădulescu,Adélia Sequeira,Vsevolod A. Solonnikov
  • Publisher : American Mathematical Soc.
  • Release : 28 June 2016
GET THIS BOOKRecent Advances in Partial Differential Equations and Applications

This volume contains the proceedings of the International Conference on Recent Advances in PDEs and Applications, in honor of Hugo Beirão da Veiga's 70th birthday, held from February 17–21, 2014, in Levico Terme, Italy. The conference brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide-ranging influence of Hugo Beirão da Veiga on the field of partial differential equations, in particular those

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Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids
  • Author : Martin Fuchs,Gregory Seregin
  • Publisher : Springer
  • Release : 06 May 2007
GET THIS BOOKVariational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of

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Three-Dimensional Navier-Stokes Equations for Turbulence

Three-Dimensional Navier-Stokes Equations for Turbulence
  • Author : Luigi C. Berselli
  • Publisher : Academic Press
  • Release : 10 March 2021
GET THIS BOOKThree-Dimensional Navier-Stokes Equations for Turbulence

Three-Dimensional Navier-Stokes Equations for Turbulence provides a rigorous but still accessible account of research into local and global energy dissipation, with particular emphasis on turbulence modeling. The mathematical detail is combined with coverage of physical terms such as energy balance and turbulence to make sure the reader is always in touch with the physical context. All important recent advancements in the analysis of the equations, such as rigorous bounds on structure functions and energy transfer rates in weak solutions, are

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New Trends and Results in Mathematical Description of Fluid Flows

New Trends and Results in Mathematical Description of Fluid Flows
  • Author : Miroslav Bulíček,Eduard Feireisl,Milan Pokorný
  • Publisher : Springer
  • Release : 26 September 2018
GET THIS BOOKNew Trends and Results in Mathematical Description of Fluid Flows

The book presents recent results and new trends in the theory of fluid mechanics. Each of the four chapters focuses on a different problem in fluid flow accompanied by an overview of available older results. The chapters are extended lecture notes from the ESSAM school "Mathematical Aspects of Fluid Flows" held in Kácov (Czech Republic) in May/June 2017. The lectures were presented by Dominic Breit (Heriot-Watt University Edinburgh), Yann Brenier (École Polytechnique, Palaiseau), Pierre-Emmanuel Jabin (University of Maryland) and

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Topics in Mathematical Fluid Mechanics

Topics in Mathematical Fluid Mechanics
  • Author : Peter Constantin,Arnaud Debussche,Giovanni P. Galdi,Michael Růžička,Gregory Seregin
  • Publisher : Springer
  • Release : 03 April 2013
GET THIS BOOKTopics in Mathematical Fluid Mechanics

This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential

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Mathematical Aspects of Fluid Mechanics

Mathematical Aspects of Fluid Mechanics
  • Author : James C. Robinson,José L. Rodrigo,Witold Sadowski
  • Publisher : Cambridge University Press
  • Release : 18 October 2012
GET THIS BOOKMathematical Aspects of Fluid Mechanics

The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier–Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for

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Electrorheological Fluids: Modeling and Mathematical Theory

Electrorheological Fluids: Modeling and Mathematical Theory
  • Author : Michael Ruzicka
  • Publisher : Springer
  • Release : 06 May 2007
GET THIS BOOKElectrorheological Fluids: Modeling and Mathematical Theory

This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to a mathematical investigation of a model possessing shear-dependent viscosities, proving the existence and uniqueness of weak and strong solutions for the steady and the unsteady case. The PDS systems investigated

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Strong Lp-Solutions for Fluid-Rigid Body Interaction Problems

Strong Lp-Solutions for Fluid-Rigid Body Interaction Problems
  • Author : Karoline Götze
  • Publisher : Logos Verlag Berlin GmbH
  • Release : 26 June 2022
GET THIS BOOKStrong Lp-Solutions for Fluid-Rigid Body Interaction Problems

We consider the initial boundary value problem for the movement of a rigid body in a viscous incompressible fluid. It is shown that, locally in time, a unique strong solution exists. This result has been known in the case of Newtonian fluids, in Hilbert spaces. Here, Banach space techniques are used to relax the conditions on the data and to extend the result to generalized Newtonian models. The proof rests on a suitable choice of coordinates, on maximal regularity estimates

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Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces

Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces
  • Author : Iwona Chlebicka,Piotr Gwiazda,Agnieszka Świerczewska-Gwiazda,Aneta Wróblewska-Kamińska
  • Publisher : Springer Nature
  • Release : 01 November 2021
GET THIS BOOKPartial Differential Equations in Anisotropic Musielak-Orlicz Spaces

This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth. The common property of the many different kinds of equations considered is that the growth conditions of the highest order operators lead to a formulation of the equations in Musielak–Orlicz spaces. This high level of generality, understood as full anisotropy and inhomogeneity, requires new proof concepts and a generalization of the formalism, calling for

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Fluid-Structure Interaction and Biomedical Applications

Fluid-Structure Interaction and Biomedical Applications
  • Author : Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová
  • Publisher : Springer
  • Release : 13 October 2014
GET THIS BOOKFluid-Structure Interaction and Biomedical Applications

This book presents, in a methodical way, updated and comprehensive descriptions and analyses of some of the most relevant problems in the context of fluid-structure interaction (FSI). Generally speaking, FSI is among the most popular and intriguing problems in applied sciences and includes industrial as well as biological applications. Various fundamental aspects of FSI are addressed from different perspectives, with a focus on biomedical applications. More specifically, the book presents a mathematical analysis of basic questions like the well-posedness of

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Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations

Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations
  • Author : Wolfgang Arendt,Joseph A. Ball,Jussi Behrndt,Karl-Heinz Förster,Volker Mehrmann,Carsten Trunk
  • Publisher : Springer Science & Business Media
  • Release : 15 June 2012
GET THIS BOOKSpectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations

The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists

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Recent Developments of Mathematical Fluid Mechanics

Recent Developments of Mathematical Fluid Mechanics
  • Author : Herbert Amann,Yoshikazu Giga,Hideo Kozono,Hisashi Okamoto,Masao Yamazaki
  • Publisher : Birkhäuser
  • Release : 17 March 2016
GET THIS BOOKRecent Developments of Mathematical Fluid Mechanics

The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free

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Nonlinear Problems in Mathematical Physics and Related Topics

Nonlinear Problems in Mathematical Physics and Related Topics
  • Author : Olʹga Aleksandrovna Ladyzhenskai︠a︡
  • Publisher : Springer Science & Business Media
  • Release : 26 June 2022
GET THIS BOOKNonlinear Problems in Mathematical Physics and Related Topics

The main topics in this volume reflect the fields of mathematics in which Professor O.A. Ladyzhenskaya obtained her most influential results. One of the main topics considered is the set of Navier-Stokes equations and their solutions.

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A Posteriori Estimates for Partial Differential Equations

A Posteriori Estimates for Partial Differential Equations
  • Author : Sergey I. Repin
  • Publisher : Walter de Gruyter
  • Release : 31 October 2008
GET THIS BOOKA Posteriori Estimates for Partial Differential Equations

This book deals with the reliable verification of the accuracy of approximate solutions which is one of the central problems in modern applied analysis. After giving an overview of the methods developed for models based on partial differential equations, the author derives computable a posteriori error estimates by using methods of the theory of partial differential equations and functional analysis. These estimates are applicable to approximate solutions computed by various methods.

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